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2220674196 = 2231322347609
BaseRepresentation
bin1000010001011100…
…1100110010010100
312201202120221022110
42010113030302110
514021443033241
61004204431020
7106013263536
oct20427146224
95652527273
102220674196
11a3a570434
1251b848470
132950bc900
14170cdd856
15cee52816
hex845ccc94

2220674196 has 72 divisors (see below), whose sum is σ = 5854887360. Its totient is φ = 653562624.

The previous prime is 2220674167. The next prime is 2220674201. The reversal of 2220674196 is 6914760222.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22840 + ... + 70448.

It is an arithmetic number, because the mean of its divisors is an integer number (81317880).

Almost surely, 22220674196 is an apocalyptic number.

2220674196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220674196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927443680).

2220674196 is an abundant number, since it is smaller than the sum of its proper divisors (3634213164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2220674196 is a wasteful number, since it uses less digits than its factorization.

2220674196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47665 (or 47650 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2220674196 is about 47124.0299210498. The cubic root of 2220674196 is about 1304.6527941126.

The spelling of 2220674196 in words is "two billion, two hundred twenty million, six hundred seventy-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 169 276 299 338 507 598 676 897 1014 1196 1794 2028 3588 3887 7774 11661 15548 23322 46644 47609 95218 142827 190436 285654 571308 618917 1095007 1237834 1856751 2190014 2475668 3285021 3713502 4380028 6570042 7427004 8045921 13140084 14235091 16091842 24137763 28470182 32183684 42705273 48275526 56940364 85410546 96551052 170821092 185056183 370112366 555168549 740224732 1110337098 2220674196